Research

Published / Accepted :

• T. Lamby and S. Nicolay, Some remarks on the Boyd functions related to the admissible sequences. Zeitschrift für Analysis und ihre Anwendungen (2022). 

• T. Lamby and S. Nicolay, Interpolation with a function parameter from the category point of view. Journal of Functional Analysis (2024).

• T. Lamby and S. Nicolay, Continuous Interpolation Spaces with a function parameter : Properties and Applications.  Rocky Mountain Journal of Mathematics (accepted 2025). 

• T. Lamby, Rademacher's Theorem for Calderon-Zygmund-type Spaces, Analysis Mathematica (accepted 2026).

Submitted :

• T. Lamby and S. Nicolay, The Thomae Function: Fractal Insights, Real Analysis Exchange (submitted 14/10/25). 

• T. Lamby, J-L Marichal and N.Zenaïdi, Newton series representation of completely monotone functions, Results in Mathematics (submitted 08/11/25).

• T. Lamby, Pointwise regularity and multifractal analysis of Minkowski's question-mark function and its base-B extensions, Ergodic Theory and Dynamical Systems (submitted 18/11/25).

• T. Lamby and S. Nicolay, A Functorial Approach to Multi-Space Interpolation with Function Parameters. Annals of Functional Analysis (submitted 29/01/26).

• T. Lamby and J-L Marichal, Repeated principal indefinite summation, Journal of Difference Equations and Applications (submitted 26/02/26).

Thesis and Memoirs :

• T. Lamby, Espaces de Calderón-Zygmund et régularité de fonctions non localement bornées, Master Thesis (2021).

• T. Lamby, Generalized Interpolation Methods and Pointwise Regularity through Continued Fractions and Diophantine Approximations, PhD Thesis (2025).

Posters :

• Fine Regularity of Minkowski’s Question-Mark Function and Its Generalizations, April 7, 2026, Poster at BeNeLux Mathematical Congress - Anvers. 

• On Composition Operators in Generalized Sobolev Spaces Defined by Bessel-Type Operators, April 1, 2026, Poster at Opérateurs de composition et espaces de Banach - CIRM, Luminy 

• About the pointwise regularity of functions defined through continued fractions, May 13, 2022, Poster at PhD day 2022 of the BMS - Liège.

Talks :

• Particular Cases at Infinity : A Never-Ending Story, december 15, 2025, PechaKucha presentation for DMATH's End of Year Celebration - Belval.

• Little Bernstein Theorem: new perspectives, october 30, 2025, Ecole d'automne ANAIS - Vannes.

• Number Theory Meets Multifractal Analysis, october 23, 2025, Number Theory Seminar - Belval.

• Hölder Regularity and Fractal Aspects of the Thomae Function, June 24, 2025, Deuxièmes Journées de l’axe Analyse Multifractale et Applications - Agay.

• Generalized Interpolation Methods, June 3, 2025, Young Scholar Day 2025 - KU Leuven.

• Hölder Analysis of Thomae-Type Functions and their Rational-Irrational Dichotomy, May 19, 2025, PhD Seminar Day 2025, Belval.

• Generalized Interpolation Methods and Pointwise Regularity through Continued Fractions and Diophantine Approximations, May 7, 2025, PhD defense - Uliège.

• Some functions defined through continued fractions, November 5, 2024, ANAIS - Marne la Vallée.

• Brjuno functions and related topics, October 21, 2024, PhD Away Days 2024 - Liège.

• About Real Interpolation, September 26, 2024, Function Spaces, Differential Operators, and Nonlinear Analysis - OberHof. 

• Brjuno functions and some of its generalizations, June 14, 2024, Séminaire d'analyse fonctionnelle - Lille.

• Multifractal analysis of the Brjuno-Yoccoz function, May 14, 2024, Invitation by Scuola Normale Superiore Pisa to give a talk - Pise.

• Pointwise regularity of generalized Brjuno function, September 27, 2023, Continued fractions : multifractal and dynamical aspects - CIRM, Luminy.

• Modified continued fractions and Brjuno functions, May 17, 2023, Seminar between PhD students of the Mathematics Department of Uliège.

• Real interpolation with a function parameter, October 25, 2022, Journées du GDR AFHP 2022 - Corte.

• Boyd functions, admissible sequences and Interpolation, September 8, 2022, Fractals and Related Fields IV - Porquerolles.

• Generalized Interpolation: a Functorial Point of View, June 20, 2022, Workshop on Functional and Complex Analysis - Valladolid.

• About Boyd functions and admissible sequences, February 10, 2022, Seminar between PhD students of the Mathematics Department of Uliège.

• Sur certains espaces fonctionnels généralisés, September 27, 2021, Journées annuelles du GDR AMA - Porquerolles.

• Régularité de fonctions non localement bornées, April 28, 2021, Seminar between PhD students of the Mathematics Department of Uliège.

Regular seminars :

• Séminaire interne de l'équipe d'Analyse of Uliège.

• Seminar between PhD students of the Mathematics Department of Uliège.

• Functional analysis Lille.

• SCAM Paris Créteil.

• One World Fractal online.

• Ghent Methusalem Junior Seminar online.

Reviews :

• Lahti, Panu; Pinamonti, Andrea; Zhou, Xiaodan A characterization of BV and Sobolev functions via nonlocal functionals in metric spaces. Nonlinear Anal. 241 (2024) 

Work in Progress :

• \w B. Martin and S. Nicolay, Multifractal analysis of the Brjuno-Yoccoz function (Part II of my thesis).

• \w J-L Marichal, D-n.

• \w N. Zenaïdi, RM functions.

• \w J-L Marichal and N.Zenaïdi, Functional context for Sigma.

• MBMG.

• On Composition Operators in Generalized Sobolev Spaces Defined by Bessel-Type Operators.

• NLB.

• IPS.